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Mathematics, 18.07.2020 21:01 froyg1234

We have two urns A and B. Urn A contains 3 green balls and 2 blue balls. Urn B is empty. We randomly draw two balls X and Y without replacement from urn A and put them into urn B. Then we draw two balls 21, Z2 randomly with replacement from urn B. (i) (5 pts) What is the probability that X and Y have the same color?
(ii) (5 pts) What is the probability that 21 and Z2 have the same color?
(iii) (5 pts) Given that 21 and 22 have the same color, what is the probability that X and Y have the same color?
(iv) (5 pts) Given that 21 and 22 are both green, what is the probability that X and Y have different colors?

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We have two urns A and B. Urn A contains 3 green balls and 2 blue balls. Urn B is empty. We randomly...
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